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4 years ago

8

Please answer the question from the attachment.

1 answer:

klasskru [66]4 years ago

5 0

Well. The formula for the area of a trapezoid is b1 + b2 over 2 times h.

a = b1 + b2 (h)
--------------------
2

3.9 = 4+2.5 (h)
--------------------
<span> 2</span>

3.9 = 6.5(h)
----
2

height = 1.2 cm.

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Using the expression for the nth term of a sequence, find the first five terms of the sequence. Begin with n = 1.

svetlana [45]

3n2+2 n=1

3(1)2+2
3(2)+2
6+2
12

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3 years ago

If the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb, how much work is needed to stretch it 6 in.

mel-nik [20]

Answer:

0.375 feet-lb

Step-by-step explanation:

We have been given that the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb. We are asked to find the work needed to stretch the spring 6 in. beyond its natural length.

We can represent our given information as:

$6=\int\limits^2_0 {F(x)} \, dx$

We will use Hooke's Law to solve our given problem.

$F(x)=kx$

Substituting this value in our integral, we will get:

$6=\int\limits^2_0 {kx} \, dx$

Using power rule, we will get:

$6=\left[ \frac{kx^2}{2} \right ]^2_0$

$6=\frac{k(2)^2}{2}-\frac{k(0)^2}{2}$

$6=\frac{4k}{2}-0\\\\k=3$

We know that 6 inches is equal to 0.5 feet.

Work needed to stretch it beyond 6 inches beyond its natural length would be $\int\limits^{0.5}_0 {kx} \, dx =\int\limits^{0.5}_0 {3x} \, dx$

Using power rule, we will get:

$\int\limits^{0.5}_0 {3x} \, dx = \left [\frac{3x^2}{2}\right]^{0.5}_0$

$\frac{3(0.5)^2}{2}-\frac{3(0)^2}{2}\Rightarrow \frac{3(0.25)}{2}-0=\frac{0.75}{2}=0.375$

Therefore, 0.375 feet-lb work is needed to stretch it 6 in. beyond its natural length.

3 0

3 years ago

Find the solution to the following system by substitution.

miv72 [106K]

Answer:

A. (2,10)

Step-by-step explanation:

5x + y = 20

y = 5x

The second equation is already solved for y, so substitute 5x for y in the first equation to find x.

5x + 5x = 20

10x = 20

x = 2

Now substitute 2 for x in the second original equation to find y.

y = 5(2)

y = 10

Answer: (2, 10) which is A.

8 0

3 years ago

Read 2 more answers

Find x on this problem

barxatty [35]

X is equal to 15 explanation is that you subtract 180 for 165 to find x which is equal to 15

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3 years ago

If you flip three fair coins what is the probability you get all three heads

brilliants [131]

Answer:

1/3 is the probability of flipping all three heads

5 0

4 years ago